दो संख्याओं का योग 180 है तथा उन संख्याओं का मासा 12 है तो संख्याओं को ऐसे कितने जोड़े संभव
Answers
Answer:
30
Step-by-step explanation:
solution
6÷180
30 Answer
Given : दो संख्याओं का योग 180 है उन संख्याओं का मासा 12 है
Sum of two numbers is 180 , their HCF = 12
To Find : ऐसे कितने जोड़े संभव
How many such pairs possible
Solution:
Assume two numbers are
12A and 12B
where A & B are co prime
12A + 12B = 180
=> A + B = 15
A = 1 , B = 14
A = 2 , B = 13
A = 3 , B = 12 ( not co prime)
A = 4 , B = 11
A = 5 , B = 10 ( not co prime)
A = 6 , B = 9 ( not co prime)
A =7 , B = 8
4 Such Pairs possible
(12 , 168 ) , ( 24 , 156) , ( 48 , 132) , ( 84 , 96)
ऐसे 4 जोड़े संभव
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